**Core Concept**
The inferior longitudinal muscle, also known as the inferior oblique muscle, is a thin, flat muscle of the eye that plays a crucial role in the movement of the eyeball. It is one of the six extraocular muscles responsible for controlling eye movements.

**Why the Correct Answer is Right**
The inferior longitudinal muscle is innervated by the abducens nerve (CN VI) and is responsible for the adduction and extorsion of the eyeball. When the inferior longitudinal muscle contracts, it helps to rotate the eyeball outward and downward, allowing the eye to move in a specific direction. This muscle works in conjunction with other extraocular muscles to provide precise control over eye movements.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not specify the correct name of the muscle. The inferior longitudinal muscle is often confused with the inferior oblique muscle, but they are not the same.
**Option B:** This option is incorrect because it does not accurately describe the function of the muscle. While the inferior longitudinal muscle does play a role in eye movement, its specific function is adduction and extorsion, not abduction.
**Option C:** This option is incorrect because it does not mention the correct innervation of the muscle. The inferior longitudinal muscle is innervated by the abducens nerve (CN VI), not the oculomotor nerve (CN III).

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the inferior longitudinal muscle works in conjunction with other extraocular muscles to provide precise control over eye movements. Understanding the specific functions and innervations of each muscle is crucial for diagnosing and treating eye movement disorders.

**Correct Answer: C.**